耦合Ginzburg-Landau方程的啁啾类亮灰孤子对传输特性研究

Propagating of Chirped Bright-Gray Soliton Pairs on the Coupled Ginzburg-Landau Equation

从数值模拟角度出发,将复变系数的耦合Ginzburg-Landau方程作为非均匀光纤放大器的理论模型,对啁啾类亮灰孤子对和亮亮孤子对两组孤波在该理论模型中的传输特性进行详细的研究。结果表明,在考虑了非线性增益(损耗)和增益带宽限制放大效应的情况下,啁啾类亮孤子和灰孤子在合适的色散区可以不受非均匀条件的影响而稳定传输。为了进一步讨论孤子对的稳定性,又讨论了加入振幅微扰和噪声微扰对传输的稳定性。

From the perspective of numerical simulation, based on the Ginzburg-Landau equation with varying coefficients governing the propagation of optical pulses in optical fiber amplifier, we analyze in detail the propagation of soliton pairs such as chirped bright-gray and chirped bright-bright which are propagating in the system. The result shows that considering the nonlinear gain （dissipative） and filtering spectrum limit effect, these chirped soliton pairs can stably propagate in proper dispersion zone without the effect of non-uniform conditions. In order to further investigate the stability of the chirped soliton pairs, we also discuss the propagate stability of soliton pairs with small perturbations such as amplitude perturbation and noise in the system.